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Finding the Fourth Proportional to 17,806.96, 26,712 and 4,659.28

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Solution

The fourth proportional to 17,806.96, 26,712 and 4,659.28 is: 6,989.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,806.96 : 26,712 = 4,659.28 : x
  2. Step 2: Convert to fraction form
    17,806.96/26,712 = 4,659.28/x
  3. Step 3: Cross multiply
    17,806.96x = 26,712 × 4,659.28
  4. Step 4: Simplify right side
    17,806.96x = 124,458,687.36
  5. Step 5: Solve for x
    x = 124,458,687.36/17,806.96
  6. Step 6: Final answer
    x = 6,989.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.